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Finding the Fourth Proportional to 314,745.50, 472,257.81 and 164,950.22

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Solution

The fourth proportional to 314,745.50, 472,257.81 and 164,950.22 is: 247,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,745.50 : 472,257.81 = 164,950.22 : x
  2. Step 2: Convert to fraction form
    314,745.50/472,257.81 = 164,950.22/x
  3. Step 3: Cross multiply
    314,745.50x = 472,257.81 × 164,950.22
  4. Step 4: Simplify right side
    314,745.50x = 77,899,027,294.93
  5. Step 5: Solve for x
    x = 77,899,027,294.93/314,745.50
  6. Step 6: Final answer
    x = 247,498.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.